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Issue 30, 2016
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111 years of Brownian motion

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Abstract

We consider the Brownian motion of a particle and present a tutorial review over the last 111 years since Einstein's paper in 1905. We describe Einstein's model, Langevin's model and the hydrodynamic models, with increasing sophistication on the hydrodynamic interactions between the particle and the fluid. In recent years, the effects of interfaces on the nearby Brownian motion have been the focus of several investigations. We summarize various results and discuss some of the controversies associated with new findings about the changes in Brownian motion induced by the interface.

Graphical abstract: 111 years of Brownian motion

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Article information


Submitted
18 May 2016
Accepted
29 Jun 2016
First published
04 Jul 2016

Soft Matter, 2016,12, 6331-6346
Article type
Tutorial Review

111 years of Brownian motion

X. Bian, C. Kim and G. E. Karniadakis, Soft Matter, 2016, 12, 6331
DOI: 10.1039/C6SM01153E

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